Given:
3x(x - 2) + 2 and 2x² + 3x -12
If x = 7 then,
= 3(7)(7 - 2) + 2
= 21(5) + 2
= 107
= 2(7)² + 3(7) -12
= 2(49) + 21 -12
= 98 + 9
= 107
For x = 7, each expression has a value of 107.
If x = 2 then,
= 3(2)(2 - 2) + 2
= 6(0) + 2
= 2
= 2(2)² + 3(2) -12
= 2(4) + 6 -12
= 8 - 6
= 2
For x = 2, each expression has a value of 2.
These results suggests that the expressions are equivalent, but (I don't know the choices) the expressions are equivalent.